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Simplifying -7(12x + 7) + -2(-4 + -6x) = 0 Reorder the terms: -7(7 + 12x) + -2(-4 + -6x) = 0 (7 * -7 + 12x * -7) + -2(-4 + -6x) = 0 (-49 + -84x) + -2(-4 + -6x) = 0 -49 + -84x + (-4 * -2 + -6x * -2) = 0 -49 + -84x + (8 + 12x) = 0 Reorder the terms: -49 + 8 + -84x + 12x = 0 Combine like terms: -49 + 8 = -41 -41 + -84x + 12x = 0 Combine like terms: -84x + 12x = -72x -41 + -72x = 0 Solving -41 + -72x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -72x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -72x = 0 + 41 -72x = 0 + 41 Combine like terms: 0 + 41 = 41 -72x = 41 Divide each side by '-72'. x = -0.5694444444 Simplifying x = -0.5694444444
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